16Hit1600
Advanced MathEasy–MediumTable that could show a linear function

Advanced Math practice question

Which of the following tables of values could represent a LINEAR function?

  1. A. x: 0, 1, 2, 3 — y: 5, 7, 9, 11Correct
  2. B. x: 0, 1, 2, 3 — y: 1, 2, 4, 8
  3. C. x: 0, 1, 2, 3 — y: 0, 1, 4, 9
  4. D. x: 0, 1, 2, 3 — y: 5, 7, 8, 8

Answer: A. x: 0, 1, 2, 3 — y: 5, 7, 9, 11

A linear function changes by the same amount for each step in x. In A, y rises by 2 every time: 5, 7, 9, 11.

Why the other answers are wrong

B. x: 0, 1, 2, 3 — y: 1, 2, 4, 8
1, 2, 4, 8 doubles each step — exponential, not linear.
C. x: 0, 1, 2, 3 — y: 0, 1, 4, 9
0, 1, 4, 9 are squares; the steps are 1, 3, 5.
D. x: 0, 1, 2, 3 — y: 5, 7, 8, 8
5, 7, 8, 8 has steps of 2, 1, 0 — not constant.

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